Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3519/245, 7167/3429 quickly i.e. 8406891 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3519/245, 7167/3429 is 8406891.
LCM(3519/245, 7167/3429) = 8406891
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3519/245,7167/3429
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 3519,7167
Least Common Multiple of Numerators i.e. LCM of 3519,7167 is 8406891.
GCF of Denominators means GCF of 245,3429 as per the given fractions.
GCF of 245,3429 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3519,7167
3 | 3519, 7167 |
1173, 2389 |
∴ So the LCM of the given numbers is 3 x 1173 x 2389 = 8406891
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 3519,7167 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3519,7167) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(3519,7167) x common factors =3 x 1 = 3
LCM(3519,7167) = ( 3519 × 7167 ) / 3
LCM(3519,7167) = 25220673 / 3
LCM(3519,7167) = 8406891
Lets's calculate GCF of 245,3429
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8406891/1
Therefore the LCM of Fractions 3519/245,7167/3429 is 8406891
Factors of 245
List of positive integer factors of 245 that divides 245 without a remainder.
1,5,7,35,49,245
Factors of 3429
List of positive integer factors of 3429 that divides 3429 without a remainder.
1,3,9,27,127,381,1143,3429
Greatest Common Factor
We found the factors 245,3429 . The biggest common factor number is the GCF number.
So the greatest common factor 245,3429 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 3519/245, 7167/3429?
Answer: LCM of Numerators as per given numbers 3519/245, 7167/3429 is
LCM of Numerators i.e. for 3519,7167 is 8406891
GCF of denominators i.e. for 245,3429 is 1.
Thus, LCM of Fractions is 8406891.Finally, LCM of Fractions for 3519/245, 7167/3429 is 8406891.